152245261117440 has 192 divisors, whose sum is σ = 541184327611200. Its totient is φ = 40598736224256.

The previous prime is 152245261117423. The next prime is 152245261117457. The reversal of 152245261117440 is 44711162542251.

152245261117440 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 4 + 526 + 1 + 11 + 74 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (152245261117423) and next prime (152245261117457).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275051322 + ... + 275604281.

It is an arithmetic number, because the mean of its divisors is an integer number (2818668372975).

Almost surely, 2^{152245261117440} is an apocalyptic number.

152245261117440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152245261117440 is an abundant number, since it is smaller than the sum of its proper divisors (388939066493760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152245261117440 is an equidigital number, since it uses as much as digits as its factorization.

152245261117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550655639 (or 550655613 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 152245261117440 in words is "one hundred fifty-two trillion, two hundred forty-five billion, two hundred sixty-one million, one hundred seventeen thousand, four hundred forty".